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A TV tower has a height of 100m.If the coverage range is to be made three times then by how much should the height of the tower be increased.

$\begin{array}{1 1}(a)\;500m\\(b)\; 600m\\(c)\;700m\\(d)\;800m\end{array}$

1 Answer

Covering range $R\propto \sqrt h$
(ie) $R^2\propto h$
If range is to be tripled
Height of the tower initially $h=100m$
$h'=9\times 100$
$\therefore$ The height of the tower has to be increased by
$\Rightarrow 800m$
Hence (d) is the correct answer.
answered Mar 17, 2014 by sreemathi.v

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